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Finding the Fourth Proportional to 323.60, 487.16 and 294.90

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Solution

The fourth proportional to 323.60, 487.16 and 294.90 is: 443.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    323.60 : 487.16 = 294.90 : x
  2. Step 2: Convert to fraction form
    323.60/487.16 = 294.90/x
  3. Step 3: Cross multiply
    323.60x = 487.16 × 294.90
  4. Step 4: Simplify right side
    323.60x = 143,661.83
  5. Step 5: Solve for x
    x = 143,661.83/323.60
  6. Step 6: Final answer
    x = 443.94

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.